# Evaluate the following limits in Exercises 1 to 22: limₓ→₋ ₁ (x¹⁰ + x⁵ + 1)/(x - 1)

**Solution:**

We will evaluate the given limit by substituting x = -1 in the given expression.

limₓ→₋ ₁ (x^{10} + x^{5} + 1)/(x - 1)

= ((- 1)^{10} + (- 1)^{5} + 1)/(- 1 - 1)

= (1 - 1 + 1)/(- 2)

= - (1/2)

NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.1 Question 5

## Evaluate the following limits in Exercises 1 to 22: limₓ→₋ ₁ (x¹⁰ + x⁵ + 1)/(x - 1)

**Summary:**

The value of the limit limₓ→₋ ₁ (x^{10} + x^{5} + 1)/(x - 1) is - (1/2)